Finite Group Databasebeta

← Group #13144255

Character table — Group #13144255

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198C199C200C201C202C203C204C205C206C207C208C209C210C211C212C213C214C215C216C217C218C219C220C221C222C223C224C225C226C227C228C229C230C231C232C233C234C235C236C237C238C239C240C241C242C243C244C245C246C247C248
size11111111111111111111111111111111111111111111111122222222222222222222222266666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818
order122222223344444444666666666666661212121212121212121212121212121244444444121212121212121212121212121212123333666666666666666666666666666612121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121244444444444444441212121212121212121212121212121212121212121212121212121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111
χ51111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ61111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111
χ71111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ81111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ91111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−iii−i−iii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i
χ101111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii−i−iii−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii
χ111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111ii−i−iii−i−i−i−iii−i−iiiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii
χ121111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111−i−iii−i−iiiii−i−iii−i−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i
χ131111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111ii−i−i−i−iiiii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii
χ141111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111−i−iiiii−i−i−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i
χ151111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−i−i−iii−i−iiiii−i−iiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i
χ161111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iiiii−i−iii−i−i−i−iii−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii
χ1711-1-111-1-11111-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1i−ii−ii−ii−iii−i−iii−i−iii−i−iii−i−i111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i1-11-11-11-1i−ii−ii−ii−i11-1-111-1-111-1-111-1-1ii−i−iii−i−iii−i−iii−i−i
χ1811-1-111-1-11111-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1i−ii−ii−ii−iii−i−iii−i−iii−i−iii−i−i111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i-11-11-11-11−ii−ii−ii−ii-1-111-1-111-1-111-1-111−i−iii−i−iii−i−iii−i−iii
χ1911-1-111-1-11111-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1−ii−ii−ii−ii−i−iii−i−iii−i−iii−i−iii111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii1-11-11-11-1−ii−ii−ii−ii11-1-111-1-111-1-111-1-1−i−iii−i−iii−i−iii−i−iii
χ2011-1-111-1-11111-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1−ii−ii−ii−ii−i−iii−i−iii−i−iii−i−iii111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii-11-11-11-11i−ii−ii−ii−i-1-111-1-111-1-111-1-111ii−i−iii−i−iii−i−iii−i−i
χ2111-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111i−ii−i−ii−iiii−i−iii−i−i−i−iii−i−iii111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii1-11-1-11-11i−ii−i−ii−ii11-1-111-1-1-1-111-1-111ii−i−iii−i−i−i−iii−i−iii
χ2211-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111i−ii−i−ii−iiii−i−iii−i−i−i−iii−i−iii111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii-11-111-11-1−ii−iii−ii−i-1-111-1-11111-1-111-1-1−i−iii−i−iiiii−i−iii−i−i
χ2311-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111−ii−iii−ii−i−i−iii−i−iiiii−i−iii−i−i111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i1-11-1-11-11−ii−iii−ii−i11-1-111-1-1-1-111-1-111−i−iii−i−iiiii−i−iii−i−i
χ2411-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111−ii−iii−ii−i−i−iii−i−iiiii−i−iii−i−i111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i-11-111-11-1i−ii−i−ii−ii-1-111-1-11111-1-111-1-1ii−i−iii−i−i−i−iii−i−iii
χ2511-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111i−i−iii−i−iiii−i−i−i−iiiii−i−i−i−iii1111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiii−i−iii−i−ii-111-1-111-1ii−i−i−i−iiiii−i−i−i−iii-1-11111-1-1-1-11111-1-1
χ2611-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111i−i−iii−i−iiii−i−i−i−iiiii−i−i−i−iii1111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii−iii−i−iii−i1-1-111-1-11−i−iiiii−i−i−i−iiiii−i−i11-1-1-1-11111-1-1-1-111
χ2711-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111−iii−i−iii−i−i−iiiii−i−i−i−iiiii−i−i1111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−ii−i−iii−i−ii1-1-111-1-11ii−i−i−i−iiiii−i−i−i−iii11-1-1-1-11111-1-1-1-111
χ2811-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111−iii−i−iii−i−i−iiiii−i−i−i−iiiii−i−i1111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−iii−i−iii−i-111-1-111-1−i−iiiii−i−i−i−iiiii−i−i-1-11111-1-1-1-11111-1-1
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χ23133-3-3-3-333−3+3i32−3−3i32-3-33333-3-3−3+3i32−3−3i323−3i323+3i323−3i323+3i323−3i323+3i323−3i323+3i32−3+3i32−3−3i32−3+3i32−3−3i323−3i323+3i323−3i323+3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i323−3i323+3i323−3i323+3i32−3i3i3i−3i3i−3i−3i3i−3ζ7−3ζ113ζ73ζ113ζ73ζ11−3ζ7−3ζ113ζ73ζ11−3ζ7−3ζ11−3ζ7−3ζ113ζ73ζ1100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000i−i−ii−iii−i1-1-11-111-1ζ7ζ11−ζ7−ζ11−ζ7−ζ11ζ7ζ11−ζ7−ζ11ζ7ζ11ζ7ζ11−ζ7−ζ11−1+i32−1−i321−i321+i321−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i32−1+i32−1−i321−i321+i32
χ23233-3-3-3-333−3+3i32−3−3i32-3-33333-3-3−3+3i32−3−3i323−3i323+3i323−3i323+3i323−3i323+3i323−3i323+3i32−3+3i32−3−3i32−3+3i32−3−3i323−3i323+3i323−3i323+3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i323−3i323+3i323−3i323+3i32−3i3i3i−3i3i−3i−3i3i−3ζ7−3ζ113ζ73ζ113ζ73ζ11−3ζ7−3ζ113ζ73ζ11−3ζ7−3ζ11−3ζ7−3ζ113ζ73ζ1100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000−iii−ii−i−ii-111-11-1-11−ζ7−ζ11ζ7ζ11ζ7ζ11−ζ7−ζ11ζ7ζ11−ζ7−ζ11−ζ7−ζ11ζ7ζ111−i321+i32−1+i32−1−i32−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i321−i321+i32−1+i32−1−i32
χ2336-66-66-66-6−3−3i3−3+3i36i−6i6i−6i6i−6i6i−6i3+3i33−3i3−3−3i3−3+3i33+3i33−3i3−3−3i3−3+3i33+3i33−3i3−3−3i3−3+3i33+3i33−3i36ζ116ζ7−6ζ11−6ζ76ζ116ζ7−6ζ11−6ζ76ζ116ζ7−6ζ11−6ζ76ζ116ζ7−6ζ11−6ζ700000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2346-66-66-66-6−3−3i3−3+3i3−6i6i−6i6i−6i6i−6i6i3+3i33−3i3−3−3i3−3+3i33+3i33−3i3−3−3i3−3+3i33+3i33−3i3−3−3i3−3+3i33+3i33−3i3−6ζ11−6ζ76ζ116ζ7−6ζ11−6ζ76ζ116ζ7−6ζ11−6ζ76ζ116ζ7−6ζ11−6ζ76ζ116ζ700000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2356-66-66-66-6−3+3i3−3−3i36i−6i6i−6i6i−6i6i−6i3−3i33+3i3−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i33−3i33+3i36ζ76ζ11−6ζ7−6ζ116ζ76ζ11−6ζ7−6ζ116ζ76ζ11−6ζ7−6ζ116ζ76ζ11−6ζ7−6ζ1100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2366-66-66-66-6−3+3i3−3−3i3−6i6i−6i6i−6i6i−6i6i3−3i33+3i3−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i33−3i33+3i3−6ζ7−6ζ116ζ76ζ11−6ζ7−6ζ116ζ76ζ11−6ζ7−6ζ116ζ76ζ11−6ζ7−6ζ116ζ76ζ1100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2376-66-6-66-66−3−3i3−3+3i36i−6i6i−6i−6i6i−6i6i3+3i33−3i3−3−3i3−3+3i33+3i33−3i33+3i33−3i3−3−3i3−3+3i33+3i33−3i3−3−3i3−3+3i36ζ116ζ7−6ζ11−6ζ76ζ116ζ7−6ζ11−6ζ7−6ζ11−6ζ76ζ116ζ7−6ζ11−6ζ76ζ116ζ700000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2386-66-6-66-66−3−3i3−3+3i3−6i6i−6i6i6i−6i6i−6i3+3i33−3i3−3−3i3−3+3i33+3i33−3i33+3i33−3i3−3−3i3−3+3i33+3i33−3i3−3−3i3−3+3i3−6ζ11−6ζ76ζ116ζ7−6ζ11−6ζ76ζ116ζ76ζ116ζ7−6ζ11−6ζ76ζ116ζ7−6ζ11−6ζ700000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2396-66-6-66-66−3+3i3−3−3i36i−6i6i−6i−6i6i−6i6i3−3i33+3i3−3+3i3−3−3i33−3i33+3i33−3i33+3i3−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i36ζ76ζ11−6ζ7−6ζ116ζ76ζ11−6ζ7−6ζ11−6ζ7−6ζ116ζ76ζ11−6ζ7−6ζ116ζ76ζ1100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2406-66-6-66-66−3+3i3−3−3i3−6i6i−6i6i6i−6i6i−6i3−3i33+3i3−3+3i3−3−3i33−3i33+3i33−3i33+3i3−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i3−6ζ7−6ζ116ζ76ζ11−6ζ7−6ζ116ζ76ζ116ζ76ζ11−6ζ7−6ζ116ζ76ζ11−6ζ7−6ζ1100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2416-6-666-6-66−3−3i3−3+3i36i−6i−6i6i6i−6i−6i6i3+3i33−3i33+3i33−3i3−3−3i3−3+3i3−3−3i3−3+3i33+3i33−3i33+3i33−3i3−3−3i3−3+3i36ζ116ζ7−6ζ11−6ζ7−6ζ11−6ζ76ζ116ζ76ζ116ζ7−6ζ11−6ζ7−6ζ11−6ζ76ζ116ζ700000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2426-6-666-6-66−3−3i3−3+3i3−6i6i6i−6i−6i6i6i−6i3+3i33−3i33+3i33−3i3−3−3i3−3+3i3−3−3i3−3+3i33+3i33−3i33+3i33−3i3−3−3i3−3+3i3−6ζ11−6ζ76ζ116ζ76ζ116ζ7−6ζ11−6ζ7−6ζ11−6ζ76ζ116ζ76ζ116ζ7−6ζ11−6ζ700000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2436-6-666-6-66−3+3i3−3−3i36i−6i−6i6i6i−6i−6i6i3−3i33+3i33−3i33+3i3−3+3i3−3−3i3−3+3i3−3−3i33−3i33+3i33−3i33+3i3−3+3i3−3−3i36ζ76ζ11−6ζ7−6ζ11−6ζ7−6ζ116ζ76ζ116ζ76ζ11−6ζ7−6ζ11−6ζ7−6ζ116ζ76ζ1100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2446-6-666-6-66−3+3i3−3−3i3−6i6i6i−6i−6i6i6i−6i3−3i33+3i33−3i33+3i3−3+3i3−3−3i3−3+3i3−3−3i33−3i33+3i33−3i33+3i3−3+3i3−3−3i3−6ζ7−6ζ116ζ76ζ116ζ76ζ11−6ζ7−6ζ11−6ζ7−6ζ116ζ76ζ116ζ76ζ11−6ζ7−6ζ1100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2456-6-66-666-6−3−3i3−3+3i36i−6i−6i6i−6i6i6i−6i3+3i33−3i33+3i33−3i3−3−3i3−3+3i33+3i33−3i3−3−3i3−3+3i3−3−3i3−3+3i33+3i33−3i36ζ116ζ7−6ζ11−6ζ7−6ζ11−6ζ76ζ116ζ7−6ζ11−6ζ76ζ116ζ76ζ116ζ7−6ζ11−6ζ700000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2466-6-66-666-6−3−3i3−3+3i3−6i6i6i−6i6i−6i−6i6i3+3i33−3i33+3i33−3i3−3−3i3−3+3i33+3i33−3i3−3−3i3−3+3i3−3−3i3−3+3i33+3i33−3i3−6ζ11−6ζ76ζ116ζ76ζ116ζ7−6ζ11−6ζ76ζ116ζ7−6ζ11−6ζ7−6ζ11−6ζ76ζ116ζ700000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2476-6-66-666-6−3+3i3−3−3i36i−6i−6i6i−6i6i6i−6i3−3i33+3i33−3i33+3i3−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i3−3+3i3−3−3i33−3i33+3i36ζ76ζ11−6ζ7−6ζ11−6ζ7−6ζ116ζ76ζ11−6ζ7−6ζ116ζ76ζ116ζ76ζ11−6ζ7−6ζ1100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2486-6-66-666-6−3+3i3−3−3i3−6i6i6i−6i6i−6i−6i6i3−3i33+3i33−3i33+3i3−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i3−3+3i3−3−3i33−3i33+3i3−6ζ7−6ζ116ζ76ζ116ζ76ζ11−6ζ7−6ζ116ζ76ζ11−6ζ7−6ζ11−6ζ7−6ζ116ζ76ζ1100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.